If f(x) = ∫e– t^2 dt for t ∈ [x2,x2 + 1], f(x) increases in
(a) (– 2,2)
(b) no value in x
(c) (0,∞)
(d) (–∞,0)
Answer is (c) (0, ∞)
Given
Clearly f(x) increases in (0,∞).